GCD of 421, 495, 398, 987 Calculator

Given Input numbers are 421, 495, 398, 987

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 421, 495, 398, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 495, 398, 987 is 1.

Therefore, GCD of numbers 421, 495, 398, 987 is 1

Given Input Data is 421, 495, 398, 987

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 421 is 421

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 398 is 2 x 199

Prime Factorization of 987 is 3 x 7 x 47

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(421, 495) = 208395

GCD(421, 495) = ( 421 x 495 ) / 208395

GCD(421, 495) = 208395 / 208395

GCD(421, 495) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 421, 495, 398, 987 is 1

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1. What is the GCD of 421, 495, 398, 987?

GCD of 421, 495, 398, 987 is 1

2. Where do I get the detailed procedure to find GCD of 421, 495, 398, 987?

You can find a detailed procedure to find GCD of 421, 495, 398, 987 on our page.

3. How to find GCD of 421, 495, 398, 987 on a calculator?

You can find the GCD of 421, 495, 398, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.